Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
D or the Last one
Step-by-step explanation:
because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
h² = 25
h = 5
∴ height = 5 and base = 2(5) = 10
C = -b + 12
2b - 3c = 1 1/2
2b -3(-b+12) = 1 1/2
2b + 3b -36 = 1 1/2
5b = 37 1/2
b = 37.5/5
b = 7.5
c + 7.5 = 12
c = 4.5
b = 7.5 c = 4.5
Hope this helps :)
